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Finding the Fourth Proportional to 315.65, 473.28 and 132.94

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Solution

The fourth proportional to 315.65, 473.28 and 132.94 is: 199.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.65 : 473.28 = 132.94 : x
  2. Step 2: Convert to fraction form
    315.65/473.28 = 132.94/x
  3. Step 3: Cross multiply
    315.65x = 473.28 × 132.94
  4. Step 4: Simplify right side
    315.65x = 62,916.66
  5. Step 5: Solve for x
    x = 62,916.66/315.65
  6. Step 6: Final answer
    x = 199.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.